(c+2d)(8c-3d)=

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Solution for (c+2d)(8c-3d)= equation: 


Simplifying
(c + 2d)(8c + -3d) = 0

Multiply (c + 2d) * (8c + -3d)
(c(8c + -3d) + 2d * (8c + -3d)) = 0
((8c * c + -3d * c) + 2d * (8c + -3d)) = 0

Reorder the terms:
((-3cd + 8c2) + 2d * (8c + -3d)) = 0
((-3cd + 8c2) + 2d * (8c + -3d)) = 0
(-3cd + 8c2 + (8c * 2d + -3d * 2d)) = 0
(-3cd + 8c2 + (16cd + -6d2)) = 0

Reorder the terms:
(-3cd + 16cd + 8c2 + -6d2) = 0

Combine like terms: -3cd + 16cd = 13cd
(13cd + 8c2 + -6d2) = 0

Solving
13cd + 8c2 + -6d2 = 0

Solving for variable 'c'.

Factor a trinomial.
(8c + -3d)(c + 2d) = 0


Subproblem 1
Set the factor '(8c + -3d)' equal to zero and attempt to solve:

Simplifying
8c + -3d = 0

Solving
8c + -3d = 0

Move all terms containing c to the left, all other terms to the right.

Add '3d' to each side of the equation.
8c + -3d + 3d = 0 + 3d

Combine like terms: -3d + 3d = 0
8c + 0 = 0 + 3d
8c = 0 + 3d
Remove the zero:
8c = 3d

Divide each side by '8'.
c = 0.375d

Simplifying
c = 0.375d

Subproblem 2
Set the factor '(c + 2d)' equal to zero and attempt to solve:

Simplifying
c + 2d = 0

Solving
c + 2d = 0

Move all terms containing c to the left, all other terms to the right.

Add '-2d' to each side of the equation.
c + 2d + -2d = 0 + -2d

Combine like terms: 2d + -2d = 0
c + 0 = 0 + -2d
c = 0 + -2d
Remove the zero:
c = -2d

Simplifying
c = -2d
Solution
c = {0.375d, -2d}

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